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12354447140000 = 255471910214549
BaseRepresentation
bin1011001111000111111001…
…1011101110010010100000
31121202001222122220102101022
42303301332123232102200
53104403401431440000
642135315450225012
72413402501002350
oct263617633562240
947661878812338
1012354447140000
113a33545370269
12147645b425168
136b80337178a4
14309d5bd1ab60
1516657a5c0585
hexb3c7e6ee4a0

12354447140000 has 480 divisors, whose sum is σ = 36607819248000. Its totient is φ = 4008061440000.

The previous prime is 12354447139999. The next prime is 12354447140023. The reversal of 12354447140000 is 4174445321.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2715857726 + ... + 2715862274.

It is an arithmetic number, because the mean of its divisors is an integer number (76266290100).

Almost surely, 212354447140000 is an apocalyptic number.

12354447140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12354447140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303909624000).

12354447140000 is an abundant number, since it is smaller than the sum of its proper divisors (24253372108000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12354447140000 is a wasteful number, since it uses less digits than its factorization.

12354447140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 12354447140000 in words is "twelve trillion, three hundred fifty-four billion, four hundred forty-seven million, one hundred forty thousand".